Products of factorials modulo p

• Autorzy: Florian Luca , Pantelimon Stănică
• Języki publikacji: EN

Abstrakty

EN

We show that if p ≠ 5 is a prime, then the numbers
${1/p ({p \atop {m₁,...,m_t}}) | t ≥ 1, m_i ≥ 0 for i = 1,...,t and ∑_{i=1}^t m_i = p}$
cover all the nonzero residue classes modulo p.

Kategorie tematyczne

• 11B65: Binomial coefficients; factorials; q -identities
• 11N69: Distribution of integers in special residue classes
• 11A07: Congruences; primitive roots; residue systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 2
• Strony: 191-205

Daty

wydano

2003

Twórcy

autor

Florian Luca

• IMATE, UNAM, Ap. Postal 61-3 (Xangari), CP. 58 089, Morelia, Michoacán, Mexico

autor

Pantelimon Stănică

• Department of Mathematics, Auburn University Montgomery, Montgomery, AL 36124-4023, U.S.A.

Identyfikatory

DOI

10.4064/cm96-2-4